Functions and relations practice

Front

What is the RANGE of a function?

Back

The RANGE is the set of all possible output values (y-values) of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) of a function.

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one unique y.

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Tags

CCSS.8.F.A.1

Front

How do you find the range of a function from a graph?

Back

To find the range from a graph, identify the lowest and highest y-values that the graph reaches.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2